Three-Part Ratio Calculator
Easily compare, simplify, and scale three quantities simultaneously. Enter any three numbers to find their simplest ratio form using greatest common divisor reductions, see exact percentage breakdowns, and scale proportions.
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What is a Three-Part Ratio?
A three-part ratio (written as A : B : C) compares three distinct quantities simultaneously. Unlike standard two-part ratios, a three-part ratio maintains mutual proportionality across three terms, making it essential for recipes, chemical formulations, concrete mixes, and multi-partner equity sharing.
Simplifying a three-part ratio involves finding the Greatest Common Divisor (GCD) of all three numbers and dividing each term by that common factor. For example, the ratio 12 : 18 : 24 shares a common divisor of 6, simplifying cleanly down to 2 : 3 : 4.
Формулы и Используемые Уравнения
В калькуляторе заложены 5 основных уравнений:
1 Three-Term Ratio Simplification ▼
Find the GCD of numbers A, B, and C, then divide each term by the GCD to express the ratio in simplest integer form.
2 Proportion Percentage Formula ▼
Determine the exact fractional share of each component relative to the whole by dividing each part by the sum of all three parts.
3 Three-Part Scaling Multiplier ▼
Multiply each ratio term by a constant scaling factor to expand or reduce the total amount while preserving perfect proportionality.
Explore all calculation options on the Калькулятор Отношений home page.
Как Пользоваться Калькулятором
Чтобы использовать этот Калькулятор Отношений, выполните 3 простых шага:
Введите Данные
Введите известные числа в поля ввода. Оставьте одно поле пустым — калькулятор вычислит это неизвестное значение.
Выберите Режим
Выберите режим работы — Решение пропорций, Упрощение отношений или Масштабирование. В каждом режиме используются свои математические формулы.
Получите Результат
Нажмите кнопку Вычислить. На экране отобразится ответ с цветной шкалой отношения, круговой диаграммой и пошаговым решением.
Примеры Задач с Пошаговыми Решениями
Вот 3 практических примера расчетов с подробным математическим описанием действий:
Ввод 1 Simplify 45 : 60 : 75
Ввод 2 Calculate percentage distribution for 2 : 3 : 5
Ввод 3 Scale 3 : 2 : 1 recipe for 600 grams total
Часто Задаваемые Вопросы
How do you simplify a three-number ratio? ▼
Find the greatest common divisor (GCD) of all three numbers, then divide each of the three terms by that common number.
Can a ratio have three parts? ▼
Yes, ratios can compare three, four, or any number of quantities written with colons like A : B : C.
How do you divide an amount into three parts using a ratio? ▼
Add the three ratio numbers together to get total parts, divide your total amount by the sum of parts to find one unit part, then multiply each ratio number by that unit value.
What if one of the three numbers in a ratio is a fraction? ▼
Multiply all three terms by the least common multiple (LCM) of the denominators to clear all fractions into whole numbers.
How do you convert a 3-part ratio to percentages? ▼
Add the three terms to find the total parts, then divide each term by the total parts and multiply by 100%.